Solve for [tex]\( x \)[/tex]:
[tex]\[ 3x = 6x - 2 \][/tex]

---

Format the following question or task so that it is easier to read.
Fix any grammar or spelling errors.
Remove phrases that are not part of the question.
Do not remove or change LaTeX formatting.
Do not change or remove [tex] [/tex] tags.
If the question is nonsense, rewrite it so that it makes sense.
-----
y RRecomdo
[tex]$
y=x^2+3 x-4
$[/tex]
-----

Response:
Rewrite the equation:
[tex]\[ y = x^2 + 3x - 4 \][/tex]



Answer :

Let's illustrate the problem and solve it step-by-step. We are asked to find the expression for [tex]\( y \)[/tex] as a function of [tex]\( x \)[/tex]:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

### Step-by-Step Solution:

1. Identify the given equation:
The equation provided is already in the standard quadratic form:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

2. Interpret the quadratic expression:
This is a quadratic equation in terms of [tex]\( x \)[/tex], where the coefficient of [tex]\( x^2 \)[/tex] is 1, the coefficient of [tex]\( x \)[/tex] is 3, and the constant term is -4.

3. Confirm the structure:
The form [tex]\( y = ax^2 + bx + c \)[/tex] is identifiable, where:
- [tex]\( a = 1 \)[/tex]
- [tex]\( b = 3 \)[/tex]
- [tex]\( c = -4 \)[/tex]

4. Solution complete:
No further simplification or transformation is needed since the equation given, [tex]\( y = x^2 + 3x - 4 \)[/tex], is already in its simplest form.

Therefore, the solution based on the given expression for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex] is:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

This completes our detailed examination and presentation of the quadratic equation provided.